Question

prove 2x-1 is a factor of 2x³+x²-13x+6 and hence factorise the given polynomial ​

Answer 1

Answer:

Yes, 2x-1 is a factor of the given polynomial

Step-by-step explanation:

To prove, 2x-1 is a factor.

=> 2x - 1 = 0

=> 2x = 1

=> x = 1/2

Now substitute x = 1/2 in the given polynomial.

=> 2x³+x²-13x+6

=> 2(1/2)³ + (1/2)² - 13(1/2) + 6

=> 2/8 + 1/4 - 13/2 +6

=> 1/4 + 1/4 - 13/2 + 6

=> 1/2 - 13/2 + 6

=> (1-13)/2 + 6

=> -12/6 + 6

=> - 6 + 6

=> 0

Hence, 2x-1 is a factor of the given polynomial, 2x³+x²-13x+6